Hostname: page-component-8448b6f56d-42gr6 Total loading time: 0 Render date: 2024-04-23T23:02:31.658Z Has data issue: false hasContentIssue false
  • English
  • Français

Matrix coefficients of cohomologically induced representations

Published online by Cambridge University Press:  19 January 2007

Binyong Sun
Binyong Sun
Affiliation:
Institute of Mathematics, Academy of Mathematics and System Science, Chinese Academy of Sciences, Beijing 100080, People's Republic of Chinasun@math.ac.cn
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We define integral formulas which produce certain matrix coefficients of cohomologically induced representations of real reductive groups. They are analogous to Harish-Chandra's Eisenstein integrals for matrix coefficients of ordinary induced representations, and generalize Flensted-Jensen's fundamental functions for discrete series.

Keywords

matrix coefficientcohomological inductionbottom layerreal reductive group22E46 (primary)22E30 (secondary)
Type
Research Article
Information
Compositio Mathematica , Volume 143 , Issue 1 , January 2007 , pp. 201 - 221
Copyright
Foundation Compositio Mathematica 2007